Theory of the Josephson effect in superconductor / one-dimensional electron gas / superconductor junction

TL;DR

This paper develops a theoretical model for the Josephson effect in superconductor/one-dimensional electron gas/superconductor junctions, highlighting how triplet symmetries and zero-energy states influence the Josephson current, enabling parity identification of superconductors.

Contribution

It introduces a novel theory for Josephson currents in unconventional s/o/s junctions, emphasizing the role of zero-energy states and triplet symmetries.

Findings

Josephson current is enhanced at low temperatures due to zero-energy states.

The parity of the superconductor can be identified through Josephson current measurements.

Abstract

We present a theory for the Josephson effect in an unconventional superconductor / one-dimensional electron gas / unconventional superconductor (s/o/s) junction, where the Josephson current is carried by components injected perpendicular to the interface. When superconductors on both sides have triplet symmetries, the Josephson current is enhanced at low temperature due to the zero-energy states formed near the interface. Measuring Josephson current in this s/o/s junction, we can identify parity of the superconductor.